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45432664728 = 233112145910723
BaseRepresentation
bin101010010011111111…
…110111001010011000
311100021021120111111020
4222103333313022120
51221021230232403
632512123402440
73165602164323
oct522377671230
9140237514436
1045432664728
11182a4611500
12897b383420
13439074b589
1422adcd77ba
1512ad905453
hexa93ff7298

45432664728 has 96 divisors (see below), whose sum is σ = 124943179200. Its totient is φ = 13756754880.

The previous prime is 45432664703. The next prime is 45432664729. The reversal of 45432664728 is 82746623454.

It is a super-3 number, since 3×454326647283 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432664729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4231575 + ... + 4242297.

It is an arithmetic number, because the mean of its divisors is an integer number (1301491450).

Almost surely, 245432664728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432664728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62471589600).

45432664728 is an abundant number, since it is smaller than the sum of its proper divisors (79510514472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45432664728 is a wasteful number, since it uses less digits than its factorization.

45432664728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12198 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 45432664728 in words is "forty-five billion, four hundred thirty-two million, six hundred sixty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 1459 2904 2918 4377 5836 8754 10723 11672 16049 17508 21446 32098 32169 35016 42892 48147 64196 64338 85784 96294 117953 128392 128676 176539 192588 235906 257352 353078 353859 385176 471812 529617 706156 707718 943624 1059234 1297483 1412312 1415436 2118468 2594966 2830872 3892449 4236936 5189932 7784898 10379864 15569796 15644857 31139592 31289714 46934571 62579428 93869142 125158856 172093427 187738284 344186854 375476568 516280281 688373708 1032560562 1376747416 1893027697 2065121124 3786055394 4130242248 5679083091 7572110788 11358166182 15144221576 22716332364 45432664728